Question

What is the HCF of two consecutive
(a) numbers?
(b) even numbers?
(c) odd numbers?

Answer 1

#AlexaRousey here!!

HCF is highest common factor of two given numbers.

a) btw two consecutive numbers :

HCF = 1

If one number is x nd second be x+1 : there is not any number which can divides both other than 1.

Lyk (4,5) , (7,8), (12,13)......

b) btw two consecutive even no :

HCF = 2

If one number be x then second is (x+2).
Clearly x = 2*c and x+2 = 2* d... It's obvious that c nd d can't have common factors.

Lyk (2,4), (4,6), (8,10) ......

c) btw two consecutive odd no :

HCF = 1

Lyk (3,5), (5,7), (9,11)....

Thanks!!